%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT058-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zHrTCQl42e true
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:50:45 PM UTC 2025
% Result : Unsatisfiable 0.56s 0.90s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT058-1 : TPTP v9.2.0. Released v4.1.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zHrTCQl42e true
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 15:14:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.90 % Solved by fo/fo4.sh.
% 0.56/0.90 % done 82 iterations in 0.121s
% 0.56/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.90 % SZS output start Refutation
% 0.56/0.90 thf(hBOOL_type, type, hBOOL: $i > $o).
% 0.56/0.90 thf(c_in_type, type, c_in: $i > $i > $i > $i).
% 0.56/0.90 thf(c_Relation_Oconverse_type, type, c_Relation_Oconverse: $i > $i > $i).
% 0.56/0.90 thf(tc_Arrow__Order__Mirabelle_Oalt_type, type, tc_Arrow__Order__Mirabelle_Oalt:
% 0.56/0.90 $i).
% 0.56/0.90 thf(c_Fun_Ocomp_type, type, c_Fun_Ocomp: $i > $i > $i > $i > $i > $i).
% 0.56/0.90 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 0.56/0.90 thf(v_c_____type, type, v_c____: $i).
% 0.56/0.90 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 0.56/0.90 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 0.56/0.90 thf(v_P_H_____type, type, v_P_H____: $i).
% 0.56/0.90 thf(v_a_____type, type, v_a____: $i).
% 0.56/0.90 thf(tc_bool_type, type, tc_bool: $i).
% 0.56/0.90 thf(v_P_____type, type, v_P____: $i).
% 0.56/0.90 thf(tc_Arrow__Order__Mirabelle_Oindi_type, type, tc_Arrow__Order__Mirabelle_Oindi:
% 0.56/0.90 $i).
% 0.56/0.90 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 0.56/0.90 thf(v_b_____type, type, v_b____: $i).
% 0.56/0.90 thf(v_x_type, type, v_x: $i).
% 0.56/0.90 thf(cls_converse__iff_1, axiom,
% 0.56/0.90 (( hBOOL @
% 0.56/0.90 ( c_in @
% 0.56/0.90 ( c_Pair @ V_a @ V_b @ T_a @ T_b ) @
% 0.56/0.90 ( hAPP @ ( c_Relation_Oconverse @ T_b @ T_a ) @ V_r ) @
% 0.56/0.90 ( tc_prod @ T_a @ T_b ) ) ) |
% 0.56/0.90 ( ~( hBOOL @
% 0.56/0.90 ( c_in @
% 0.56/0.90 ( c_Pair @ V_b @ V_a @ T_b @ T_a ) @ V_r @ ( tc_prod @ T_b @ T_a ) ) ) ))).
% 0.56/0.90 thf(zip_derived_cl26, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/0.90 ( (hBOOL @
% 0.56/0.90 (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X3) @
% 0.56/0.90 (hAPP @ (c_Relation_Oconverse @ X3 @ X2) @ X4) @
% 0.56/0.90 (tc_prod @ X2 @ X3)))
% 0.56/0.90 | ~ (hBOOL @
% 0.56/0.90 (c_in @ (c_Pair @ X1 @ X0 @ X3 @ X2) @ X4 @ (tc_prod @ X3 @ X2))))),
% 0.56/0.90 inference('cnf', [status(esa)], [cls_converse__iff_1])).
% 0.56/0.90 thf(cls_iff_0, axiom,
% 0.56/0.90 (( hBOOL @
% 0.56/0.90 ( c_in @
% 0.56/0.90 ( c_Pair @
% 0.56/0.90 v_b____ @ v_c____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 ( hAPP @ v_P_H____ @ V_i ) @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 0.56/0.90 ( ~( hBOOL @
% 0.56/0.90 ( c_in @
% 0.56/0.90 ( c_Pair @
% 0.56/0.90 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 ( hAPP @ v_P____ @ V_i ) @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ))).
% 0.56/0.90 thf(zip_derived_cl32, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 ( (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_b____ @ v_c____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @ v_P_H____ @ X0) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt)))
% 0.56/0.90 | ~ (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_a____ @ v_b____ @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @ v_P____ @ X0) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.56/0.90 inference('cnf', [status(esa)], [cls_iff_0])).
% 0.56/0.90 thf(cls_conjecture_1, conjecture,
% 0.56/0.90 (~( ( ~( hBOOL @
% 0.56/0.90 ( c_in @
% 0.56/0.90 ( c_Pair @
% 0.56/0.90 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 ( hAPP @
% 0.56/0.90 ( c_Fun_Ocomp @
% 0.56/0.90 ( c_Relation_Oconverse @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 v_P____ @
% 0.56/0.90 ( tc_fun @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 tc_bool ) @
% 0.56/0.90 ( tc_fun @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 tc_bool ) @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oindi ) @
% 0.56/0.90 v_x ) @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) |
% 0.56/0.90 ( ~( hBOOL @
% 0.56/0.90 ( c_in @
% 0.56/0.90 ( c_Pair @
% 0.56/0.90 v_b____ @ v_c____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 ( hAPP @ v_P_H____ @ v_x ) @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) ))).
% 0.56/0.90 thf(zf_stmt_0, negated_conjecture,
% 0.56/0.90 (( ~( hBOOL @
% 0.56/0.90 ( c_in @
% 0.56/0.90 ( c_Pair @
% 0.56/0.90 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 ( hAPP @
% 0.56/0.90 ( c_Fun_Ocomp @
% 0.56/0.90 ( c_Relation_Oconverse @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 v_P____ @
% 0.56/0.90 ( tc_fun @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 tc_bool ) @
% 0.56/0.90 ( tc_fun @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 tc_bool ) @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oindi ) @
% 0.56/0.90 v_x ) @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) |
% 0.56/0.90 ( ~( hBOOL @
% 0.56/0.90 ( c_in @
% 0.56/0.90 ( c_Pair @
% 0.56/0.90 v_b____ @ v_c____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 ( hAPP @ v_P_H____ @ v_x ) @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) )),
% 0.56/0.90 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.56/0.90 thf(zip_derived_cl47, plain,
% 0.56/0.90 ((~ (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @
% 0.56/0.90 (c_Fun_Ocomp @
% 0.56/0.90 (c_Relation_Oconverse @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 v_P____ @
% 0.56/0.90 (tc_fun @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 tc_bool) @
% 0.56/0.90 (tc_fun @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 tc_bool) @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oindi) @
% 0.56/0.90 v_x) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt)))
% 0.56/0.90 | ~ (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_b____ @ v_c____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @ v_P_H____ @ v_x) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.90 thf(cls_o__eq__dest__lhs_0, axiom,
% 0.56/0.90 (( hAPP @ V_a @ ( hAPP @ V_b @ V_v ) ) =
% 0.56/0.90 ( hAPP @ ( c_Fun_Ocomp @ V_a @ V_b @ T_c @ T_b @ T_a ) @ V_v ))).
% 0.56/0.90 thf(zip_derived_cl35, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.56/0.90 ((hAPP @ X0 @ (hAPP @ X1 @ X5))
% 0.56/0.90 = (hAPP @ (c_Fun_Ocomp @ X0 @ X1 @ X2 @ X3 @ X4) @ X5))),
% 0.56/0.90 inference('cnf', [status(esa)], [cls_o__eq__dest__lhs_0])).
% 0.56/0.90 thf(zip_derived_cl66, plain,
% 0.56/0.90 ((~ (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @
% 0.56/0.90 (c_Relation_Oconverse @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @ v_P____ @ v_x)) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt)))
% 0.56/0.90 | ~ (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_b____ @ v_c____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @ v_P_H____ @ v_x) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.56/0.90 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl35])).
% 0.56/0.90 thf(zip_derived_cl281, plain,
% 0.56/0.90 ((~ (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @ v_P____ @ v_x) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt)))
% 0.56/0.90 | ~ (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @
% 0.56/0.90 (c_Relation_Oconverse @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @ v_P____ @ v_x)) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.56/0.90 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl66])).
% 0.56/0.90 thf(cls_converseD_0, axiom,
% 0.56/0.90 (( hBOOL @
% 0.56/0.90 ( c_in @
% 0.56/0.90 ( c_Pair @ V_b @ V_a @ T_b @ T_a ) @ V_r @ ( tc_prod @ T_b @ T_a ) ) ) |
% 0.56/0.90 ( ~( hBOOL @
% 0.56/0.90 ( c_in @
% 0.56/0.90 ( c_Pair @ V_a @ V_b @ T_a @ T_b ) @
% 0.56/0.90 ( hAPP @ ( c_Relation_Oconverse @ T_b @ T_a ) @ V_r ) @
% 0.56/0.90 ( tc_prod @ T_a @ T_b ) ) ) ))).
% 0.56/0.90 thf(zip_derived_cl28, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/0.90 ( (hBOOL @
% 0.56/0.90 (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X3) @ X4 @ (tc_prod @ X2 @ X3)))
% 0.56/0.90 | ~ (hBOOL @
% 0.56/0.90 (c_in @ (c_Pair @ X1 @ X0 @ X3 @ X2) @
% 0.56/0.90 (hAPP @ (c_Relation_Oconverse @ X2 @ X3) @ X4) @
% 0.56/0.90 (tc_prod @ X3 @ X2))))),
% 0.56/0.90 inference('cnf', [status(esa)], [cls_converseD_0])).
% 0.56/0.90 thf(cls_conjecture_0, conjecture,
% 0.56/0.90 (~( ( hBOOL @
% 0.56/0.90 ( c_in @
% 0.56/0.90 ( c_Pair @
% 0.56/0.90 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 ( hAPP @
% 0.56/0.90 ( c_Fun_Ocomp @
% 0.56/0.90 ( c_Relation_Oconverse @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 v_P____ @
% 0.56/0.90 ( tc_fun @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 tc_bool ) @
% 0.56/0.90 ( tc_fun @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 tc_bool ) @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oindi ) @
% 0.56/0.90 v_x ) @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 0.56/0.90 ( hBOOL @
% 0.56/0.90 ( c_in @
% 0.56/0.90 ( c_Pair @
% 0.56/0.90 v_b____ @ v_c____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 ( hAPP @ v_P_H____ @ v_x ) @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ))).
% 0.56/0.90 thf(zf_stmt_1, negated_conjecture,
% 0.56/0.90 (( hBOOL @
% 0.56/0.90 ( c_in @
% 0.56/0.90 ( c_Pair @
% 0.56/0.90 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 ( hAPP @
% 0.56/0.90 ( c_Fun_Ocomp @
% 0.56/0.90 ( c_Relation_Oconverse @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 v_P____ @
% 0.56/0.90 ( tc_fun @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 tc_bool ) @
% 0.56/0.90 ( tc_fun @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 tc_bool ) @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oindi ) @
% 0.56/0.90 v_x ) @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 0.56/0.90 ( hBOOL @
% 0.56/0.90 ( c_in @
% 0.56/0.90 ( c_Pair @
% 0.56/0.90 v_b____ @ v_c____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 ( hAPP @ v_P_H____ @ v_x ) @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) )),
% 0.56/0.90 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.56/0.90 thf(zip_derived_cl48, plain,
% 0.56/0.90 (( (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @
% 0.56/0.90 (c_Fun_Ocomp @
% 0.56/0.90 (c_Relation_Oconverse @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 v_P____ @
% 0.56/0.90 (tc_fun @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 tc_bool) @
% 0.56/0.90 (tc_fun @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 tc_bool) @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oindi) @
% 0.56/0.90 v_x) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt)))
% 0.56/0.90 | (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_b____ @ v_c____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @ v_P_H____ @ v_x) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.90 thf(zip_derived_cl35, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.56/0.90 ((hAPP @ X0 @ (hAPP @ X1 @ X5))
% 0.56/0.90 = (hAPP @ (c_Fun_Ocomp @ X0 @ X1 @ X2 @ X3 @ X4) @ X5))),
% 0.56/0.90 inference('cnf', [status(esa)], [cls_o__eq__dest__lhs_0])).
% 0.56/0.90 thf(zip_derived_cl67, plain,
% 0.56/0.90 (( (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @
% 0.56/0.90 (c_Relation_Oconverse @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @ v_P____ @ v_x)) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt)))
% 0.56/0.90 | (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_b____ @ v_c____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @ v_P_H____ @ v_x) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.56/0.90 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl35])).
% 0.56/0.90 thf(zip_derived_cl93, plain,
% 0.56/0.90 (( (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @ v_P____ @ v_x) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt)))
% 0.56/0.90 | (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_b____ @ v_c____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @ v_P_H____ @ v_x) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.56/0.90 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl67])).
% 0.56/0.90 thf(cls_iff_1, axiom,
% 0.56/0.90 (( hBOOL @
% 0.56/0.90 ( c_in @
% 0.56/0.90 ( c_Pair @
% 0.56/0.90 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 ( hAPP @ v_P____ @ V_i ) @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 0.56/0.90 ( ~( hBOOL @
% 0.56/0.90 ( c_in @
% 0.56/0.90 ( c_Pair @
% 0.56/0.90 v_b____ @ v_c____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.56/0.90 ( hAPP @ v_P_H____ @ V_i ) @
% 0.56/0.90 ( tc_prod @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ))).
% 0.56/0.90 thf(zip_derived_cl31, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 ( (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @ v_P____ @ X0) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt)))
% 0.56/0.90 | ~ (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_b____ @ v_c____ @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @ v_P_H____ @ X0) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.56/0.90 inference('cnf', [status(esa)], [cls_iff_1])).
% 0.56/0.90 thf(zip_derived_cl134, plain,
% 0.56/0.90 ( (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @ v_P____ @ v_x) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.56/0.90 inference('clc', [status(thm)], [zip_derived_cl93, zip_derived_cl31])).
% 0.56/0.90 thf(zip_derived_cl283, plain,
% 0.56/0.90 (~ (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @
% 0.56/0.90 (c_Relation_Oconverse @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @ v_P____ @ v_x)) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.56/0.90 inference('demod', [status(thm)], [zip_derived_cl281, zip_derived_cl134])).
% 0.56/0.90 thf(zip_derived_cl285, plain,
% 0.56/0.90 (~ (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @ v_P____ @ v_x) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.56/0.90 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl283])).
% 0.56/0.90 thf(zip_derived_cl134, plain,
% 0.56/0.90 ( (hBOOL @
% 0.56/0.90 (c_in @
% 0.56/0.90 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.56/0.90 (hAPP @ v_P____ @ v_x) @
% 0.56/0.90 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.56/0.90 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.56/0.90 inference('clc', [status(thm)], [zip_derived_cl93, zip_derived_cl31])).
% 0.56/0.90 thf(zip_derived_cl287, plain, ($false),
% 0.56/0.90 inference('demod', [status(thm)], [zip_derived_cl285, zip_derived_cl134])).
% 0.56/0.90
% 0.56/0.90 % SZS output end Refutation
% 0.56/0.90
% 0.56/0.90
% 0.56/0.90 % Terminating...
% 0.58/0.95 % Runner terminated.
% 0.58/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------